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10086976 = 263972
BaseRepresentation
bin100110011110…
…101001000000
3200222110201201
4212132221000
510040240401
61000110544
7151511044
oct46365100
920873651
1010086976
11576a549
123465454
132122333
1414a8024
15d43b01
hex99ea40

10086976 has 21 divisors (see below), whose sum is σ = 20066889. Its totient is φ = 5030784.

The previous prime is 10086961. The next prime is 10087003. The reversal of 10086976 is 67968001.

The square root of 10086976 is 3176.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6760000 + 3326976 = 2600^2 + 1824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 25210 + ... + 25606.

Almost surely, 210086976 is an apocalyptic number.

10086976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10086976 is the 3176-th square number.

It is an amenable number.

10086976 is a deficient number, since it is larger than the sum of its proper divisors (9979913).

10086976 is an frugal number, since it uses more digits than its factorization.

10086976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The cubic root of 10086976 is about 216.0662805282.

The spelling of 10086976 in words is "ten million, eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 397 794 1588 3176 6352 12704 25408 157609 315218 630436 1260872 2521744 5043488 10086976